Some homological properties of Banach algebras associated with locally compact groups

Mehdi Nemati. "Some homological properties of Banach algebras associated with locally compact groups." Colloquium Mathematicae 139.2 (2015): 259-271. <http://eudml.org/doc/283724>.

@article{MehdiNemati2015,
abstract = {We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.},
author = {Mehdi Nemati},
journal = {Colloquium Mathematicae},
keywords = {projective tensor product; approximately biflat; approximately biprojective; contractible; character biflat; character biprojective; Segal algebra},
language = {eng},
number = {2},
pages = {259-271},
title = {Some homological properties of Banach algebras associated with locally compact groups},
url = {http://eudml.org/doc/283724},
volume = {139},
year = {2015},
}

TY - JOUR
AU - Mehdi Nemati
TI - Some homological properties of Banach algebras associated with locally compact groups
JO - Colloquium Mathematicae
PY - 2015
VL - 139
IS - 2
SP - 259
EP - 271
AB - We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.
LA - eng
KW - projective tensor product; approximately biflat; approximately biprojective; contractible; character biflat; character biprojective; Segal algebra
UR - http://eudml.org/doc/283724
ER -